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Finding the Fourth Proportional to 12,195, 16,827.74 and 6,888.70

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Solution

The fourth proportional to 12,195, 16,827.74 and 6,888.70 is: 9,505.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195 : 16,827.74 = 6,888.70 : x
  2. Step 2: Convert to fraction form
    12,195/16,827.74 = 6,888.70/x
  3. Step 3: Cross multiply
    12,195x = 16,827.74 × 6,888.70
  4. Step 4: Simplify right side
    12,195x = 115,921,252.54
  5. Step 5: Solve for x
    x = 115,921,252.54/12,195
  6. Step 6: Final answer
    x = 9,505.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.